Search a number
-
+
23011310000 = 24547973389
BaseRepresentation
bin10101011011100101…
…001011100110110000
32012101200211122222202
4111123211023212300
5334111343410000
614323220122332
71443145623230
oct253345134660
965350748882
1023011310000
119839314878
1245625363a8
13222951c083
1411841d3cc0
158ea2e5dd5
hex55b94b9b0

23011310000 has 200 divisors, whose sum is σ = 64347027360. Its totient is φ = 7805952000.

The previous prime is 23011309987. The next prime is 23011310009. The reversal of 23011310000 is 1311032.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×230113100002 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23011310009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6788306 + ... + 6791694.

Almost surely, 223011310000 is an apocalyptic number.

23011310000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23011310000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32173513680).

23011310000 is an abundant number, since it is smaller than the sum of its proper divisors (41335717360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23011310000 is an equidigital number, since it uses as much as digits as its factorization.

23011310000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3521 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

Adding to 23011310000 its reverse (1311032), we get a palindrome (23012621032).

The spelling of 23011310000 in words is "twenty-three billion, eleven million, three hundred ten thousand".